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Finding the Fourth Proportional to 209,937.69, 314,595.50 and 172,761.93

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Solution

The fourth proportional to 209,937.69, 314,595.50 and 172,761.93 is: 258,886.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,937.69 : 314,595.50 = 172,761.93 : x
  2. Step 2: Convert to fraction form
    209,937.69/314,595.50 = 172,761.93/x
  3. Step 3: Cross multiply
    209,937.69x = 314,595.50 × 172,761.93
  4. Step 4: Simplify right side
    209,937.69x = 54,350,124,885.51
  5. Step 5: Solve for x
    x = 54,350,124,885.51/209,937.69
  6. Step 6: Final answer
    x = 258,886.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.